Respuesta :
Answer:
The probability no one delays or goes without medical care is 0.168;
The probability only one person delays or goes without medical care is 0.336.
Step-by-step explanation:
This problem can be modeled with a binomial random variable, with sample size n=8 and probability of success p=0.2.
The probability that exactly k Americans delay or go without medical care because of concerns about cost within the sample of eight individuals can be calculated as:
[tex]P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{8}{k} 0.2^{k} 0.8^{8-k}\\\\\\[/tex]
The probability no one delays or goes without medical care (x=0) is:
[tex]P(x=0) = \dbinom{8}{0} p^{0}(1-p)^{8}=1*1*0.168=0.168\\\\\\[/tex]
The probability only one person delays or goes without medical care (x=1) is
[tex]P(x=1) = \dbinom{8}{1} p^{1}(1-p)^{7}=8*0.2*0.21=0.336\\\\\\[/tex]
